Question

. For any integer n,n(n2 −1)(n +2)is divisible by 4

Answer 1

.....

Answer 2

not a question

Answer 3

for any integer n, n(n2 −1)(n +2)is divisible by 4

Answer 4

does it help to know that \(n^2-1=(n+1)(n-1)\) ?

Answer 5

then you have
\[(n-1)\times n\times (n+1)\times (n+2)\] a product of four consecutive integers
seems pretty likely that one of them has to be divisible by four

Answer 6

ok yes

Answer 7

thanks